It is currently 23 Aug 2019, 05:15

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# The number of students who attend a school could be divided

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 128

Kudos [?]: 2046 [0], given: 397

The number of students who attend a school could be divided [#permalink]  12 Aug 2018, 15:31
Expert's post
00:00

Question Stats:

64% (00:53) correct 36% (00:42) wrong based on 25 sessions
The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students. What is the minimum number of students that could attend the school?

(A) 120
(B) 160
(C) 240
(D) 320
(E) 480
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 128

Kudos [?]: 2046 [0], given: 397

Re: The number of students who attend a school could be divided [#permalink]  15 Aug 2018, 05:12
Expert's post
Explanation

The number of students must be divisible by 10, 12, and 16. So the question is really asking, “What is the least common multiple of 10, 12, and 16?” Since all of the answer choices end in 0, each is divisible by 10.

Just use the calculator to test which choices are also divisible by 12 and 16.

Because the question asks for the minimum, start by checking the smallest choices. Since $$\frac{120}{16}$$ and $$\frac{160}{12}$$ are not integers, the smallest choice that works is 240.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Joined: 13 Jul 2018
Posts: 33
GRE 1: Q159 V151
GPA: 4
WE: Programming (Computer Software)
Followers: 0

Kudos [?]: 19 [0], given: 9

Re: The number of students who attend a school could be divided [#permalink]  15 Aug 2018, 13:25
Factorise 10, 12, 16 and eliminate the repeated factors. What's left is the minimum number of students that could attend the school.
Manager
Joined: 02 Dec 2018
Posts: 74
Followers: 0

Kudos [?]: 9 [0], given: 60

Re: The number of students who attend a school could be divided [#permalink]  02 Dec 2018, 08:21
Is it me or is this question ambiguous? The way I interpreted it is that the minimum number of students that could attend would be if there were 120 students divided into 10 buses.
Target Test Prep Representative
Joined: 12 Sep 2018
Posts: 160
Followers: 6

Kudos [?]: 111 [2] , given: 0

Re: The number of students who attend a school could be divided [#permalink]  01 Feb 2019, 17:50
2
KUDOS
Expert's post
sandy wrote:
The number of students who attend a school could be divided among 10, 12, or 16 buses, such that each bus transports an equal number of students. What is the minimum number of students that could attend the school?

(A) 120
(B) 160
(C) 240
(D) 320
(E) 480

We need to determine the LCM of 10, 12, and 16

10 = 2 x 5

12 = 2^2 x 3

16 = 2^4

So the LCM is 2^4 x 3 x 5 = 16 x 3 x 5 = 240.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
22 Reviews

5-star rated online GRE quant
self study course

See why Target Test Prep is the top rated GRE quant course on GRE Prep Club. Read Our Reviews

Re: The number of students who attend a school could be divided   [#permalink] 01 Feb 2019, 17:50
Display posts from previous: Sort by

# The number of students who attend a school could be divided

 Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.